Stock Plans (Schedule of net cash proceeds from the exercise of stock options less shares used for withholding taxes and the intrisic value of options exercised) (Details) - USD ($) $ in Millions	6 Months Ended
Nov. 27, 2016	Nov. 29, 2015
Stock Plans [Abstract]
Net cash proceeds	$ 77.0	$ 64.5
Intrinsic value of options exercised	$ 131.9	$ 102.0

Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (d)(2)
-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration